@Article{NMTMA-8-97, author = {}, title = {A Multilevel Method for the Solution of Time Dependent Optimal Transport}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2015}, volume = {8}, number = {1}, pages = {97--111}, abstract = {

In this paper we present a new computationally efficient numerical scheme for the minimizing flow for the computation of the optimal $L_2$ mass transport mapping using the fluid approach. We review the method and discuss its numerical properties. We then derive a new scaleable, efficient discretization and a solution technique for the problem and show that the problem is equivalent to a mixed form formulation of a nonlinear fluid flow in porous media. We demonstrate the effectiveness of our approach using a number of numerical experiments.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2015.w02si}, url = {http://global-sci.org/intro/article_detail/nmtma/12401.html} }